TY - GEN A1 - Baumann, Felix A1 - Duda, Georg A1 - Schiela, Anton A1 - Weiser, Martin A2 - Hintermüller, Michael A2 - Herzog, Roland A2 - Kanzow, Christian A2 - Ulbrich, Michael A2 - Ulbrich, Stefan T1 - Identification of Stress in Heterogeneous Contact Models T2 - Non-Smooth and Complementarity-Based Distributed Parameter Systems N2 - We develop a heterogeneous model of the lower limb system to simulate muscle forces and stresses acting on the knee joint. The modelling of the bone dynamics leads to an index-3 DAE, which we discretize by higher order collocation methods. Furthermore, we present an elastomechanical contact knee joint model of the articular cartilage. For the solution of the contact problem we develop an efficient multigrid solver, based on an Augmented-Lagrangian relaxation of the contact constraints. We formulate the identification of joint forces and resulting stresses with respect to different knee joint models as an inverse problem based on medical gait data. Y1 - 2026 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/10286 VL - 173 PB - Springer Nature ER -